Pith Number

pith:KS23T4KE

pith:2011:KS23T4KEAVEBIFDZTVDAKKR74N

not attested not anchored not stored refs pending

Averages of shifted convolutions of $d_3(n)$

G. Marasingha, L. Zhao, S. Baier, T. D. Browning

arxiv:1101.5464 v2 · 2011-01-28 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KS23T4KEAVEBIFDZTVDAKKR74N}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:28:47.491757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b5b9f14405481414799d46052a3fe34f482e6a781c9c6a2b4f7b2ec60622a0

Aliases

arxiv: 1101.5464 · arxiv_version: 1101.5464v2 · doi: 10.48550/arxiv.1101.5464 · pith_short_12: KS23T4KEAVEB · pith_short_16: KS23T4KEAVEBIFDZ · pith_short_8: KS23T4KE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KS23T4KEAVEBIFDZTVDAKKR74N \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 54b5b9f14405481414799d46052a3fe34f482e6a781c9c6a2b4f7b2ec60622a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93289d57ef5b0771c74f0f5a2a436938929062252a832183ca1720c1492109ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-28T06:38:49Z",
    "title_canon_sha256": "70bf4518b037d8c5e11c055044ae921810c43eedf89ddc53d9726c3b83561a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5464",
    "kind": "arxiv",
    "version": 2
  }
}